Toroidalization of generating sequences in dimension two function fields of positive characteristic

Details Toroidalization of generating sequences in dimension two function fields of positive characteristic Toroidalization of generating sequences in dimension two function fields of positive characteristic

2007-10-03

arxiv.org/abs/0710.0697v1

J. Pure Appl. Algebra 209 (2007) 631-649

Mathematics

Commutative Algebra

Scientific paper

We give a characteristic free proof of the main result of our previous paper (math.AC/0509697) concerning toroidalization of generating sequences of valuations in dimension two function fields. We show that when an extension of two dimensional algebraic regular local rings $R\subset S$ satisfies the conclusions of the Strong Monomialization theorem of Cutkosky and Piltant, the map between generating sequences in $R$ and $S$ has a toroidal structure.

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